What's the difference between a static AI and a dynamic AI?
My sense is they're probably talking about the difference between symbolic AI (aka GOFAI)  and learning algorithms.

GOFAI typically uses heuristics, which are static—essentially fixed rules governing decision making.

Statistical AI, aka Machine Learning, is dynamic and can analyze and evaluate the environment to form its own decision rules.  

Sometimes a trained NN that is no longer learning is said to have created it's own heuristics.